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Simplifying 0.25(8n + 4) + -17 = -0.5(4n + -8) Reorder the terms: 0.25(4 + 8n) + -17 = -0.5(4n + -8) (4 * 0.25 + 8n * 0.25) + -17 = -0.5(4n + -8) (1 + 2n) + -17 = -0.5(4n + -8) Reorder the terms: 1 + -17 + 2n = -0.5(4n + -8) Combine like terms: 1 + -17 = -16 -16 + 2n = -0.5(4n + -8) Reorder the terms: -16 + 2n = -0.5(-8 + 4n) -16 + 2n = (-8 * -0.5 + 4n * -0.5) -16 + 2n = (4 + -2n) Solving -16 + 2n = 4 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -16 + 2n + 2n = 4 + -2n + 2n Combine like terms: 2n + 2n = 4n -16 + 4n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -16 + 4n = 4 + 0 -16 + 4n = 4 Add '16' to each side of the equation. -16 + 16 + 4n = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 4 + 16 4n = 4 + 16 Combine like terms: 4 + 16 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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